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Sensors 2016, 16(9), 1496; doi:10.3390/s16091496

A Novel 2-D Coherent DOA Estimation Method Based on Dimension Reduction Sparse Reconstruction for Orthogonal Arrays

1
School of Electronics and Information Engineering, Harbin Institute of Technology, Harbin 150001, China
2
School of Information and Electrical Engineering, Harbin Institute of Technology (Weihai), Weihai 264209, China
3
First Institute of Oceanography, SOA, Qingdao 266061, China
4
Collaborative Innovation Center of Information Sensing and Understanding at Harbin Institute of Technology, Harbin 150001, China
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M. N. Passaro
Received: 1 June 2016 / Revised: 16 August 2016 / Accepted: 6 September 2016 / Published: 15 September 2016
(This article belongs to the Section Physical Sensors)
View Full-Text   |   Download PDF [2554 KB, uploaded 20 September 2016]   |  

Abstract

Based on sparse representations, the problem of two-dimensional (2-D) direction of arrival (DOA) estimation is addressed in this paper. A novel sparse 2-D DOA estimation method, called Dimension Reduction Sparse Reconstruction (DRSR), is proposed with pairing by Spatial Spectrum Reconstruction of Sub-Dictionary (SSRSD). By utilizing the angle decoupling method, which transforms a 2-D estimation into two independent one-dimensional (1-D) estimations, the high computational complexity induced by a large 2-D redundant dictionary is greatly reduced. Furthermore, a new angle matching scheme, SSRSD, which is less sensitive to the sparse reconstruction error with higher pair-matching probability, is introduced. The proposed method can be applied to any type of orthogonal array without requirement of a large number of snapshots and a priori knowledge of the number of signals. The theoretical analyses and simulation results show that the DRSR-SSRSD method performs well for coherent signals, which performance approaches Cramer–Rao bound (CRB), even under a single snapshot and low signal-to-noise ratio (SNR) condition. View Full-Text
Keywords: direction of arrival (DOA); two-dimensional (2-D) DOA estimation; coherent sources; dimension reduction sparse reconstruction; redundant sub-dictionary direction of arrival (DOA); two-dimensional (2-D) DOA estimation; coherent sources; dimension reduction sparse reconstruction; redundant sub-dictionary
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Wang, X.; Mao, X.; Wang, Y.; Zhang, N.; Li, B. A Novel 2-D Coherent DOA Estimation Method Based on Dimension Reduction Sparse Reconstruction for Orthogonal Arrays. Sensors 2016, 16, 1496.

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